Anyons and quantum groups

Alberto Lerda; Stefano Sciuto

doi:10.1016/0550-3213(93)90316-H

Anyons and quantum groups

Alberto Lerda
, Stefano Sciuto

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

Anyonic oscillators with fractional statistics are built on a two-dimensional square lattice by means of a generalized Jordan-Wigner construction, and their deformed commutation relations are thoroughly discussed. Such anyonic oscillators, which are non-local objects that must not be confused with q-oscillators, are then combined à la Schwinger to construct the generators of the quantum group SU(2)_q with q = exp(iπν), where ν is the anyonic statistical parameter.

Lingua originale	Inglese
pagine (da-a)	613-643
Numero di pagine	31
Rivista	Nuclear Physics B
Volume	401
Numero di pubblicazione	3
DOI	https://doi.org/10.1016/0550-3213(93)90316-H
Stato di pubblicazione	Pubblicato - 26 lug 1993
Pubblicato esternamente	Sì

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10.1016/0550-3213(93)90316-H

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abstract = "Anyonic oscillators with fractional statistics are built on a two-dimensional square lattice by means of a generalized Jordan-Wigner construction, and their deformed commutation relations are thoroughly discussed. Such anyonic oscillators, which are non-local objects that must not be confused with q-oscillators, are then combined {\`a} la Schwinger to construct the generators of the quantum group SU(2)q with q = exp(iπν), where ν is the anyonic statistical parameter.",

author = "Alberto Lerda and Stefano Sciuto",

note = "Funding Information: * Work supported in part by Ministero dell{\textquoteright}Universit{\`a} e della Ricerca Scientifica e Tecnologica, and by NSF grant PHY 90-08936. Also at Institute for Theoretical Physics, S.U.N.Y. at Stony Brook, Stony Brook, NY 11794, USA.",

year = "1993",

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AU - Sciuto, Stefano

N1 - Funding Information: * Work supported in part by Ministero dell’Università e della Ricerca Scientifica e Tecnologica, and by NSF grant PHY 90-08936. Also at Institute for Theoretical Physics, S.U.N.Y. at Stony Brook, Stony Brook, NY 11794, USA.

PY - 1993/7/26

Y1 - 1993/7/26

N2 - Anyonic oscillators with fractional statistics are built on a two-dimensional square lattice by means of a generalized Jordan-Wigner construction, and their deformed commutation relations are thoroughly discussed. Such anyonic oscillators, which are non-local objects that must not be confused with q-oscillators, are then combined à la Schwinger to construct the generators of the quantum group SU(2)q with q = exp(iπν), where ν is the anyonic statistical parameter.

AB - Anyonic oscillators with fractional statistics are built on a two-dimensional square lattice by means of a generalized Jordan-Wigner construction, and their deformed commutation relations are thoroughly discussed. Such anyonic oscillators, which are non-local objects that must not be confused with q-oscillators, are then combined à la Schwinger to construct the generators of the quantum group SU(2)q with q = exp(iπν), where ν is the anyonic statistical parameter.

UR - https://www.scopus.com/pages/publications/0007135346

U2 - 10.1016/0550-3213(93)90316-H

DO - 10.1016/0550-3213(93)90316-H

M3 - Article

SN - 0550-3213

VL - 401

SP - 613

EP - 643

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

Anyons and quantum groups

Abstract

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